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Simplifying 61 + 5y + -22 = 15y + -9 + -2y Reorder the terms: 61 + -22 + 5y = 15y + -9 + -2y Combine like terms: 61 + -22 = 39 39 + 5y = 15y + -9 + -2y Reorder the terms: 39 + 5y = -9 + 15y + -2y Combine like terms: 15y + -2y = 13y 39 + 5y = -9 + 13y Solving 39 + 5y = -9 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 39 + 5y + -13y = -9 + 13y + -13y Combine like terms: 5y + -13y = -8y 39 + -8y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 39 + -8y = -9 + 0 39 + -8y = -9 Add '-39' to each side of the equation. 39 + -39 + -8y = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -8y = -9 + -39 -8y = -9 + -39 Combine like terms: -9 + -39 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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